lcm of 369
1225
576
please explain in notebook
Answers
Answer:
28,929,600
Step-by-step explanation:2. Find the prime factors of 1225
Tree view of the prime factors of 1225: 5, 5, 7 and 7
The prime factors of 1225 are 5, 5, 7 and 7.
3. Find the prime factors of 576
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Tree view of the prime factors of 576: 2, 2, 2, 2, 2, 2, 3 and 3
The prime factors of 576 are 2, 2, 2, 2, 2, 2, 3 and 3.
4. Build a prime factors table
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Determine the maximum number of times each prime factor (2, 3, 5, 7, 41) occurs in the factorization of the given numbers:
Prime factor Number 369 1225 576 Max. occurrence
2 0 0 6 6
3 2 0 2 2
5 0 2 0 2
7 0 2 0 2
41 1 0 0 1
The prime factor 41 occurs one time, while 2, 3, 5 and 7 occur more than once.
5. Calculate the LCM
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The least common multiple is the product of all factors in the greatest number of their occurrence.
LCM =
The least common multiple of 369, 1225 and 576 is 28,929,600.
Answer:
Answer is 2,89,29,600
Step-by-step explanation:
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